Tue Apr 7 09:18:56 2026 Tue Apr 7 09:18:56 2026 Tue Apr 7 09:18:56 2026 Msieve v. 1.54 (SVN unknown) Tue Apr 7 09:18:56 2026 random seeds: c89d5a8e c7d20a95 Tue Apr 7 09:18:56 2026 factoring 30544454877416935242473833648335632582696612146722701971928372577958740832193394825375744549238735449210994910356447885514786540718651374777709671910541072973141 (161 digits) Tue Apr 7 09:18:57 2026 no P-1/P+1/ECM available, skipping Tue Apr 7 09:18:57 2026 commencing number field sieve (161-digit input) Tue Apr 7 09:18:57 2026 R0: -17116610891216347057338136011465 Tue Apr 7 09:18:57 2026 R1: 184149195454786520351 Tue Apr 7 09:18:57 2026 A0: -3377212749902901654126285618761391728 Tue Apr 7 09:18:57 2026 A1: -6102489302962961287165080123284 Tue Apr 7 09:18:57 2026 A2: 3031025664982297387409474 Tue Apr 7 09:18:57 2026 A3: 1086571999482590996 Tue Apr 7 09:18:57 2026 A4: -342649227963 Tue Apr 7 09:18:57 2026 A5: 145530 Tue Apr 7 09:18:57 2026 skew 2332927.01, size 2.177e-15, alpha -7.022, combined = 1.911e-12 rroots = 3 Tue Apr 7 09:18:57 2026 Tue Apr 7 09:18:57 2026 commencing relation filtering Tue Apr 7 09:18:57 2026 setting target matrix density to 100.0 Tue Apr 7 09:18:57 2026 estimated available RAM is 7902.4 MB Tue Apr 7 09:18:57 2026 commencing duplicate removal, pass 1 Tue Apr 7 09:37:16 2026 found 3195186 hash collisions in 119316948 relations Tue Apr 7 09:37:56 2026 added 121641 free relations Tue Apr 7 09:37:56 2026 commencing duplicate removal, pass 2 Tue Apr 7 09:38:49 2026 found 0 duplicates and 119438589 unique relations Tue Apr 7 09:38:49 2026 memory use: 381.2 MB Tue Apr 7 09:38:49 2026 reading ideals above 51970048 Tue Apr 7 09:38:49 2026 commencing singleton removal, initial pass Tue Apr 7 09:52:36 2026 memory use: 3012.0 MB Tue Apr 7 09:52:37 2026 reading all ideals from disk Tue Apr 7 09:52:43 2026 memory use: 2104.5 MB Tue Apr 7 09:52:49 2026 commencing in-memory singleton removal Tue Apr 7 09:52:54 2026 begin with 119438589 relations and 109373161 unique ideals Tue Apr 7 09:53:59 2026 reduce to 62542321 relations and 45195134 ideals in 16 passes Tue Apr 7 09:53:59 2026 max relations containing the same ideal: 55 Tue Apr 7 09:54:04 2026 reading ideals above 720000 Tue Apr 7 09:54:04 2026 commencing singleton removal, initial pass Tue Apr 7 10:04:03 2026 memory use: 1378.0 MB Tue Apr 7 10:04:03 2026 reading all ideals from disk Tue Apr 7 10:04:11 2026 memory use: 2270.2 MB Tue Apr 7 10:04:19 2026 keeping 51085214 ideals with weight <= 200, target excess is 335931 Tue Apr 7 10:04:27 2026 commencing in-memory singleton removal Tue Apr 7 10:04:33 2026 begin with 62542326 relations and 51085214 unique ideals Tue Apr 7 10:05:22 2026 reduce to 62540324 relations and 51083205 ideals in 8 passes Tue Apr 7 10:05:22 2026 max relations containing the same ideal: 200 Tue Apr 7 10:06:03 2026 removing 9942033 relations and 7942033 ideals in 2000000 cliques Tue Apr 7 10:06:07 2026 commencing in-memory singleton removal Tue Apr 7 10:06:13 2026 begin with 52598291 relations and 51083205 unique ideals Tue Apr 7 10:07:00 2026 reduce to 51417365 relations and 41913260 ideals in 9 passes Tue Apr 7 10:07:00 2026 max relations containing the same ideal: 184 Tue Apr 7 10:07:28 2026 removing 7668631 relations and 5668631 ideals in 2000000 cliques Tue Apr 7 10:07:31 2026 commencing in-memory singleton removal Tue Apr 7 10:07:35 2026 begin with 43748734 relations and 41913260 unique ideals Tue Apr 7 10:08:01 2026 reduce to 42894561 relations and 35357763 ideals in 8 passes Tue Apr 7 10:08:01 2026 max relations containing the same ideal: 164 Tue Apr 7 10:08:23 2026 removing 7025493 relations and 5025493 ideals in 2000000 cliques Tue Apr 7 10:08:26 2026 commencing in-memory singleton removal Tue Apr 7 10:08:29 2026 begin with 35869068 relations and 35357763 unique ideals Tue Apr 7 10:08:54 2026 reduce to 35050197 relations and 29477711 ideals in 9 passes Tue Apr 7 10:08:54 2026 max relations containing the same ideal: 144 Tue Apr 7 10:09:13 2026 removing 6709011 relations and 4709011 ideals in 2000000 cliques Tue Apr 7 10:09:16 2026 commencing in-memory singleton removal Tue Apr 7 10:09:18 2026 begin with 28341186 relations and 29477711 unique ideals Tue Apr 7 10:09:34 2026 reduce to 27472217 relations and 23854969 ideals in 8 passes Tue Apr 7 10:09:34 2026 max relations containing the same ideal: 120 Tue Apr 7 10:09:50 2026 removing 6514643 relations and 4514643 ideals in 2000000 cliques Tue Apr 7 10:09:54 2026 commencing in-memory singleton removal Tue Apr 7 10:09:56 2026 begin with 20957574 relations and 23854969 unique ideals Tue Apr 7 10:10:08 2026 reduce to 19953257 relations and 18270172 ideals in 8 passes Tue Apr 7 10:10:08 2026 max relations containing the same ideal: 98 Tue Apr 7 10:10:18 2026 removing 4536470 relations and 3243065 ideals in 1293405 cliques Tue Apr 7 10:10:21 2026 commencing in-memory singleton removal Tue Apr 7 10:10:22 2026 begin with 15416787 relations and 18270172 unique ideals Tue Apr 7 10:10:32 2026 reduce to 14746063 relations and 14317145 ideals in 9 passes Tue Apr 7 10:10:32 2026 max relations containing the same ideal: 80 Tue Apr 7 10:10:42 2026 removing 273811 relations and 234573 ideals in 39238 cliques Tue Apr 7 10:10:43 2026 commencing in-memory singleton removal Tue Apr 7 10:10:44 2026 begin with 14472252 relations and 14317145 unique ideals Tue Apr 7 10:10:49 2026 reduce to 14469565 relations and 14079880 ideals in 6 passes Tue Apr 7 10:10:49 2026 max relations containing the same ideal: 80 Tue Apr 7 10:10:53 2026 relations with 0 large ideals: 1167 Tue Apr 7 10:10:53 2026 relations with 1 large ideals: 4358 Tue Apr 7 10:10:53 2026 relations with 2 large ideals: 66603 Tue Apr 7 10:10:53 2026 relations with 3 large ideals: 449391 Tue Apr 7 10:10:53 2026 relations with 4 large ideals: 1585260 Tue Apr 7 10:10:53 2026 relations with 5 large ideals: 3237742 Tue Apr 7 10:10:53 2026 relations with 6 large ideals: 4041812 Tue Apr 7 10:10:53 2026 relations with 7+ large ideals: 5083232 Tue Apr 7 10:10:53 2026 commencing 2-way merge Tue Apr 7 10:11:02 2026 reduce to 8794925 relation sets and 8405240 unique ideals Tue Apr 7 10:11:02 2026 commencing full merge Tue Apr 7 10:14:14 2026 memory use: 1083.8 MB Tue Apr 7 10:14:15 2026 found 4273205 cycles, need 4225440 Tue Apr 7 10:14:17 2026 weight of 4225440 cycles is about 422858453 (100.07/cycle) Tue Apr 7 10:14:17 2026 distribution of cycle lengths: Tue Apr 7 10:14:17 2026 1 relations: 249659 Tue Apr 7 10:14:17 2026 2 relations: 324549 Tue Apr 7 10:14:17 2026 3 relations: 367449 Tue Apr 7 10:14:17 2026 4 relations: 371485 Tue Apr 7 10:14:17 2026 5 relations: 374599 Tue Apr 7 10:14:17 2026 6 relations: 365853 Tue Apr 7 10:14:17 2026 7 relations: 345826 Tue Apr 7 10:14:17 2026 8 relations: 316597 Tue Apr 7 10:14:17 2026 9 relations: 283000 Tue Apr 7 10:14:17 2026 10+ relations: 1226423 Tue Apr 7 10:14:17 2026 heaviest cycle: 24 relations Tue Apr 7 10:14:18 2026 commencing cycle optimization Tue Apr 7 10:14:28 2026 start with 31191902 relations Tue Apr 7 10:15:35 2026 pruned 1115893 relations Tue Apr 7 10:15:35 2026 memory use: 918.1 MB Tue Apr 7 10:15:35 2026 distribution of cycle lengths: Tue Apr 7 10:15:35 2026 1 relations: 249659 Tue Apr 7 10:15:35 2026 2 relations: 332476 Tue Apr 7 10:15:35 2026 3 relations: 382239 Tue Apr 7 10:15:36 2026 4 relations: 384848 Tue Apr 7 10:15:36 2026 5 relations: 390703 Tue Apr 7 10:15:36 2026 6 relations: 380033 Tue Apr 7 10:15:36 2026 7 relations: 359309 Tue Apr 7 10:15:36 2026 8 relations: 326436 Tue Apr 7 10:15:36 2026 9 relations: 289061 Tue Apr 7 10:15:36 2026 10+ relations: 1130676 Tue Apr 7 10:15:36 2026 heaviest cycle: 24 relations Tue Apr 7 10:15:46 2026 RelProcTime: 3409 Tue Apr 7 10:15:46 2026 elapsed time 00:56:50 Tue Apr 7 10:55:57 2026 Tue Apr 7 10:55:57 2026 Tue Apr 7 10:55:57 2026 Msieve v. 1.54 (SVN unknown) Tue Apr 7 10:55:57 2026 random seeds: 33db949a 7bd49d17 Tue Apr 7 10:55:57 2026 factoring 30544454877416935242473833648335632582696612146722701971928372577958740832193394825375744549238735449210994910356447885514786540718651374777709671910541072973141 (161 digits) Tue Apr 7 10:55:58 2026 no P-1/P+1/ECM available, skipping Tue Apr 7 10:55:58 2026 commencing number field sieve (161-digit input) Tue Apr 7 10:55:58 2026 R0: -17116610891216347057338136011465 Tue Apr 7 10:55:58 2026 R1: 184149195454786520351 Tue Apr 7 10:55:58 2026 A0: -3377212749902901654126285618761391728 Tue Apr 7 10:55:58 2026 A1: -6102489302962961287165080123284 Tue Apr 7 10:55:58 2026 A2: 3031025664982297387409474 Tue Apr 7 10:55:58 2026 A3: 1086571999482590996 Tue Apr 7 10:55:58 2026 A4: -342649227963 Tue Apr 7 10:55:58 2026 A5: 145530 Tue Apr 7 10:55:58 2026 skew 2332927.01, size 2.177e-15, alpha -7.022, combined = 1.911e-12 rroots = 3 Tue Apr 7 10:55:58 2026 Tue Apr 7 10:55:58 2026 commencing linear algebra Tue Apr 7 10:55:58 2026 using VBITS=512 Tue Apr 7 10:55:58 2026 read 4225440 cycles Tue Apr 7 10:56:08 2026 cycles contain 14232129 unique relations Tue Apr 7 10:57:52 2026 read 14232129 relations Tue Apr 7 10:58:15 2026 using 20 quadratic characters above 4294917295 Tue Apr 7 10:59:37 2026 building initial matrix Tue Apr 7 11:03:07 2026 memory use: 1906.5 MB Tue Apr 7 11:03:10 2026 read 4225440 cycles Tue Apr 7 11:03:11 2026 matrix is 4225263 x 4225440 (1700.8 MB) with weight 523488562 (123.89/col) Tue Apr 7 11:03:11 2026 sparse part has weight 399369534 (94.52/col) Tue Apr 7 11:04:07 2026 filtering completed in 2 passes Tue Apr 7 11:04:08 2026 matrix is 4224897 x 4225073 (1700.7 MB) with weight 523472328 (123.90/col) Tue Apr 7 11:04:08 2026 sparse part has weight 399364297 (94.52/col) Tue Apr 7 11:04:23 2026 matrix starts at (0, 0) Tue Apr 7 11:04:24 2026 matrix is 4224897 x 4225073 (1700.7 MB) with weight 523472328 (123.90/col) Tue Apr 7 11:04:24 2026 sparse part has weight 399364297 (94.52/col) Tue Apr 7 11:04:24 2026 saving the first 496 matrix rows for later Tue Apr 7 11:04:25 2026 matrix includes 512 packed rows Tue Apr 7 11:04:29 2026 matrix is 4224401 x 4225073 (1594.4 MB) with weight 337927005 (79.98/col) Tue Apr 7 11:04:29 2026 sparse part has weight 316570230 (74.93/col) Tue Apr 7 11:04:29 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Tue Apr 7 11:04:29 2026 selected card has CUDA arch 8.6 Tue Apr 7 11:05:05 2026 commencing Lanczos iteration Tue Apr 7 11:05:06 2026 memory use: 4607.2 MB Tue Apr 7 11:05:20 2026 linear algebra at 0.4%, ETA 0h59m Tue Apr 7 11:05:21 2026 checkpointing every 4080000 dimensions Tue Apr 7 12:09:49 2026 lanczos halted after 8265 iterations (dim = 4224400) Tue Apr 7 12:11:17 2026 recovered 27 nontrivial dependencies Tue Apr 7 12:11:18 2026 BLanczosTime: 4520 Tue Apr 7 12:11:18 2026 elapsed time 01:15:21 Tue Apr 7 12:12:06 2026 Tue Apr 7 12:12:06 2026 Tue Apr 7 12:12:06 2026 Msieve v. 1.54 (SVN unknown) Tue Apr 7 12:12:06 2026 random seeds: ffe36088 a5d73b12 Tue Apr 7 12:12:06 2026 factoring 30544454877416935242473833648335632582696612146722701971928372577958740832193394825375744549238735449210994910356447885514786540718651374777709671910541072973141 (161 digits) Tue Apr 7 12:12:07 2026 no P-1/P+1/ECM available, skipping Tue Apr 7 12:12:07 2026 commencing number field sieve (161-digit input) Tue Apr 7 12:12:07 2026 R0: -17116610891216347057338136011465 Tue Apr 7 12:12:07 2026 R1: 184149195454786520351 Tue Apr 7 12:12:07 2026 A0: -3377212749902901654126285618761391728 Tue Apr 7 12:12:07 2026 A1: -6102489302962961287165080123284 Tue Apr 7 12:12:07 2026 A2: 3031025664982297387409474 Tue Apr 7 12:12:07 2026 A3: 1086571999482590996 Tue Apr 7 12:12:07 2026 A4: -342649227963 Tue Apr 7 12:12:07 2026 A5: 145530 Tue Apr 7 12:12:07 2026 skew 2332927.01, size 2.177e-15, alpha -7.022, combined = 1.911e-12 rroots = 3 Tue Apr 7 12:12:07 2026 Tue Apr 7 12:12:07 2026 commencing square root phase Tue Apr 7 12:12:07 2026 reading relations for dependency 1 Tue Apr 7 12:12:07 2026 read 2113587 cycles Tue Apr 7 12:12:11 2026 cycles contain 7119444 unique relations Tue Apr 7 12:13:19 2026 read 7119444 relations Tue Apr 7 12:13:56 2026 multiplying 7119444 relations Tue Apr 7 12:20:54 2026 multiply complete, coefficients have about 372.78 million bits Tue Apr 7 12:20:56 2026 initial square root is modulo 4884683 Tue Apr 7 12:29:21 2026 sqrtTime: 1034 Tue Apr 7 12:29:21 2026 p54 factor: 665890684053648984473604035557791057318846638586674873 Tue Apr 7 12:29:21 2026 p107 factor: 45870073885815246456835340799813126226216610207663614393823018919517847319694997956304809381234908360181117 Tue Apr 7 12:29:21 2026 elapsed time 00:17:15